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192320 = 265601
BaseRepresentation
bin101110111101000000
3100202210222
4232331000
522123240
64042212
71430462
oct567500
9322728
10192320
11121547
1293368
13696cb
1450132
153beb5
hex2ef40

192320 has 28 divisors (see below), whose sum is σ = 458724. Its totient is φ = 76800.

The previous prime is 192319. The next prime is 192323. The reversal of 192320 is 23291.

192320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 73984 = 344^2 + 272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (16383).

2192320 is an apocalyptic number.

192320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229362).

192320 is an abundant number, since it is smaller than the sum of its proper divisors (266404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

192320 is an equidigital number, since it uses as much as digits as its factorization.

192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 192320 is about 438.5430423573. The cubic root of 192320 is about 57.7220150137.

It can be divided in two parts, 192 and 320, that added together give a 9-th power (512 = 29).

The spelling of 192320 in words is "one hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 601 1202 2404 3005 4808 6010 9616 12020 19232 24040 38464 48080 96160 192320